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Finding the Fourth Proportional to 243,002.34, 364,590.99 and 85,255.38

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Solution

The fourth proportional to 243,002.34, 364,590.99 and 85,255.38 is: 127,913.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,002.34 : 364,590.99 = 85,255.38 : x
  2. Step 2: Convert to fraction form
    243,002.34/364,590.99 = 85,255.38/x
  3. Step 3: Cross multiply
    243,002.34x = 364,590.99 × 85,255.38
  4. Step 4: Simplify right side
    243,002.34x = 31,083,343,397.03
  5. Step 5: Solve for x
    x = 31,083,343,397.03/243,002.34
  6. Step 6: Final answer
    x = 127,913.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.